A uniform stick of length L and mass M is hinged at one end.

A uniform stick of length L and mass M is hinged at one end. It is released from rest at an angle θ0 with the vertical. Show that when the angle with the vertical is θ, the hinge exerts a force Fr along the stick and a force Ft perpendicular to the stick given by Fr = 1/2Mg(5 cos θ - 3 cos θ0) and Ft = (Mg/4) sin θ.